#include <math.h>
#include "complexe.h"

complexe complexe_init(double re, double im)
{
  complexe c;

  c.re = re;
  c.im = im;

  return c;
}

double complexe_re(complexe c)
{
  return c.re;
}

double complexe_im(complexe c)
{
  return c.im;
}

complexe complexe_somme(complexe a, complexe b)
{
  complexe c;

  c.re = a.re + b.re;
  c.im = a.im + b.im;

  return c;
}

complexe complexe_difference(complexe a, complexe b)
{
  complexe c;

  c.re = a.re - b.re;
  c.im = a.im - b.im;

  return c;
}

complexe complexe_produit(complexe a, complexe b)
{
  complexe c;

  c.re = a.re * b.re - a.im * b.im;
  c.im = a.re * b.im + a.im * b.re;

  return c;
}

double complexe_module(complexe a)
{
  return hypot(a.re, a.im);
}

double complexe_distance(complexe a, complexe b)
{
  return complexe_module(complexe_difference(a, b));
}